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» The rank-width of Directed Graphs
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82
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WG
2007
Springer
15 years 6 months ago
Characterization and Recognition of Digraphs of Bounded Kelly-width
Kelly-width is a parameter of directed graphs recently proposed by Hunter and Kreutzer as a directed analogue of treewidth. We give several alternative characterizations of direct...
Daniel Meister, Jan Arne Telle, Martin Vatshelle
GC
2010
Springer
14 years 11 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
ICALP
2011
Springer
14 years 4 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...

Book
1197views
16 years 10 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty
114
Voted
SIGMETRICS
2010
ACM
147views Hardware» more  SIGMETRICS 2010»
14 years 11 months ago
On random walks in direction-aware network problems
Graph theory provides a powerful set of metrics and conceptual ideas to model and investigate the behavior of communication networks. Most graph-theoretical frameworks in the netw...
Ali Tizghadam, Alberto Leon-Garcia